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Hybrid memristor/RTD structure-based cellular neural networks with applications in image processing

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Abstract

Cellular neural network (CNN) has been acted as a high-speed parallel analog signal processor gradually. However, recently, since the decrease in the size of transistor is going to approach the utmost, the transistor-based integrated circuit technology hits a bottleneck. As a result, the advantage of very large scale integration implementation of CNN becomes hard to really present, and further development of this era faces severe challenges unavoidably. In this study, two types of memristor-based cellular neural networks have been proposed. One type uses a memristor to replace the linear resistor in a conventional CNN cell circuit. And the other places a resonant tunneling diode (RTD) in this position and uses memristive synaptic connections to structure a hybrid memristor RTD CNN model. The excellent performances of the proposed CNNs are verified by conventional means of, for instance, stability analysis and efficient applications in image processing. Since both the memristor and the resonant tunneling diode are nanoscale, the size of the network circuits can be greatly reduced, and the integration density of the system will be significantly improved.

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References

  1. Chua LO (1971) Memristor-the missing circuit element. IEEE Trans Circuit Theory CT-18:507–519

    Google Scholar 

  2. Chua LO, Roska T (1993) The CNN paradigm. IEEE Trans Circuit Syst I Fundam Theory Appl 40:147–156

    Article  MATH  MathSciNet  Google Scholar 

  3. Chua LO, Roska T (2002) Cellular neural networks and visual computing: foundations and applications. Cambridge University Press, Cambridge

    Book  Google Scholar 

  4. Moore GE (1965) Cramming more components onto integrated circuits. McGraw-Hill, New York

    Google Scholar 

  5. Chua LO (1971) Memristor-The missing circuit element. IEEE Trans Circuit Theory CT-18:507–519

    Google Scholar 

  6. Williams R (2002) How we found the missing memristor. IEEE Spectr 45:28–35

    Article  Google Scholar 

  7. Chua LO, Roska T (2002) Cellular neural networks and visual computing. Cambridge University Press, Cambridge

    Book  Google Scholar 

  8. Hu X, Duan S, Wang L, Liao X (2012) Memristive crossbar array with applications in image processing. Sci China Inf Sci 55:461–472

    Article  Google Scholar 

  9. Duan S, Hu X, Wang L, Li C, Mazumder P (2012) Memristor-based RRAM with applications. Sci China Inf Sci 55:1446–1460

    Article  Google Scholar 

  10. Duan S, Hu X, Wang L, Li C (2013) Analog memristive memory with applications in audio signal processing. Sci China Inf Sci. doi:10.1007/s11432-013-4864-z

    Google Scholar 

  11. Hu X, Duan S, Wang L (2011) Memristive multilevel memory with applications in audio signal storage. Artif Intel Comput Intel 2011:228–235

    Article  Google Scholar 

  12. Hu X, Chen G, Duan S, Feng G (2013) A memristor-based chaotic system with boundary conditions. In: Adamatzky A, Chua LO (eds) Memristor networks. Springer, USA

    Google Scholar 

  13. Wang L, Duan S (2012) A chaotic attractor in delayed memristive system. Abstr Appl Anal 726927:1–8

    Google Scholar 

  14. Wang L, Drakakis E, Duan S, He P, Liao X (2012) Memristor model and its application for Chaos generation. Int J Bifurcat Chaos 22(1250205):1–14

    Google Scholar 

  15. Liu S, Wang L, Duan S, Li C, Wang J (2012) Memristive device based filter and integration circuits with applications. Adv Sci Lett 8:194–199

    Article  Google Scholar 

  16. Wang L, Fang X, Duan S, Liao X (2013) PID controller based on memristive CMAC network. Abstr Appl Anal 510238:1–6

    MathSciNet  Google Scholar 

  17. Chen L, Li C, Wang X, Duan S (2013) Associate learning and correcting in a memristive neural network. Neural Comput Appl 22:1071–1076

    Article  Google Scholar 

  18. Duan S, Hu X, Wang L, Gao S (2013) Resonant tunneling diodes-based cellular nonlinear networks with fault tolerance analysis. Math Probl Eng 170202:1–8

    MathSciNet  Google Scholar 

  19. Hu X, Duan S, Wang L (2012) A novel chaotic neural network using memristors with applications in associative memory. Abstr Appl Anal 405739:1–19

    MathSciNet  Google Scholar 

  20. Wang L, Duan M, Duan S (2013) Memristive perceptron for combinational logic classification. Math Probl Eng 625790:1–7

    Google Scholar 

  21. Wang L, Duan M, Duan S (2013) Memristive Chebyshev neural network and its applications in function approximation. Math Probl Eng 42940:1–7

    Google Scholar 

  22. Lehtonen E, Laiho M (2010) CNN using memristors for neighborhood connections. In: 12th international workshop on cellular nanoscale networks and their applications (CNNA), 2010, pp 1–4

  23. Karahaliloglu K, Balkir S (2003) Nanostructure array of coupled RTDs as cellular neural networks. Int J Circuit Theory Appl 31:571–589

    Article  Google Scholar 

  24. Julián P, Dogaru R, Itoh M, Hanggi M, Chua LO (2003) Simplicial RTD-based cellular nonlinear networks. IEEE Trans Circuits Syst I Fundam Theory Appl 50:500–509

    Article  Google Scholar 

  25. Chua LO, Roska T (2002) Cellular neural networks and visual computing: foundations and applications. Cambridge University Press, Cambridge

    Book  Google Scholar 

  26. Mazumder P, Kulkarni S, Bhattacharya M, Sun JP, Haddad GI (1998) Digital circuit applications of resonant tunneling devices. In: Proceedings of the IEEE, vol 86, pp 664–686

Download references

Acknowledgments

The work was supported by Program for New Century Excellent Talents in University, National Natural Science Foundation of China (Grant Nos. 61372139, 61101233, 60972155), “Spring Sunshine Plan” Research Project of Ministry of Education of China (Grant No. z2011148), Technology Foundation for Selected Overseas Chinese Scholars, Ministry of Personnel in China (Grant No. 2012-186), University Excellent Talents Supporting Foundations in of Chongqing (Grant No. 2011-65), University Key Teacher Supporting Foundations of Chongqing (Grant No. 2011-65), Fundamental Research Funds for the Central Universities (Grant Nos. XDJK2012A007, XDJK2013B011).

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Correspondence to Xiaofang Hu.

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Duan, S., Hu, X., Wang, L. et al. Hybrid memristor/RTD structure-based cellular neural networks with applications in image processing. Neural Comput & Applic 25, 291–296 (2014). https://doi.org/10.1007/s00521-013-1484-x

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